(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A horizontal force of 80N acts on a mass of 6kg resting on a horizontal face. The mass is initially at rest and covers a distance of 5m in 0.92s under the action of the force. Assuming there are no energy losses due to air resistance and therefore that the acceleration is constant.

A) Calculate the energy expended in the acceleration.

B) Plot a graph of the kinetic energy of the mass against time.

C) Plot a graph of the kinetic energy of the mass against distance.

2. Relevant equations

K.E.= (mv^2)/2,

V= ∆s/∆t

S= d/t

3. The attempt at a solution

A) Work=force ×distance

W=fD

W=80 ×5

W=400J

B) Speed= distance/time

S= d/t

S= 5/0.92

S=5.4348m/s

Velocity= (change in speed)/(change in time)

V= ∆s/∆t

V= 5.4348/0.92

V=5.907ms^(-1)

K.E.= (mv^2)/2

K.E.= (6 × 5.907^2)/2

K.E.= 104.678J

If correct, on the x axis i'd have time in s, on the y axis K.E. in Joules. I'd draw a straight line from 0,0 to 0.92,104.678?

C) Similarly to answer B, except with distance on the x axis and K.E. on the y axis. I'd draw a straight line from 0,0 to 5,104.678?

If any body is able to check my answers and provide some guidance i'd be most grateful.

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# Homework Help: Plotting Kinetic Energy of Mass Against Time and Distance

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